Specific Heat of Iron Calculation: A Quick Guide

How do we calculate the specific heat of iron?

Given that a sample of iron with a mass of 10.0 kg changed from 50.4°C to 25.0°C with the release of 47000 J of heat.

Answer:

The specific heat of iron can be calculated using the formula: heat = mass × specific heat × change in temperature. In this case, the mass is 10.0 kg, the change in temperature is 25.4°C, and the heat released is 47000 J. The specific heat of iron is calculated to be 184.25 J/(kg°C).

To calculate the specific heat of iron, we need to use the formula: heat = mass × specific heat × change in temperature. In this case, the mass of the iron sample is 10.0 kg, the change in temperature is 25.4°C (50.4°C - 25.0°C), and the heat released is 47000 J.

Substitute the values into the formula: 47000 J = 10.0 kg × specific heat × 25.4°C.

Solving for the specific heat, we find: specific heat = 47000 J / (10.0 kg × 25.4°C) = 184.25 J/(kg°C).

Specific heat is an important property of a material that determines how much heat energy is required to raise the temperature of a unit mass of the material by one degree Celsius.

In this case, the specific heat of iron is found to be 184.25 J/(kg°C), which means it requires 184.25 Joules of energy to raise the temperature of 1 kg of iron by 1°C.